TSTP Solution File: MGT026-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT026-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 13:54:09 EDT 2024
% Result : Unsatisfiable 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 16
% Syntax : Number of formulae : 60 ( 16 unt; 0 def)
% Number of atoms : 158 ( 41 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 169 ( 71 ~; 98 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f114,plain,
$false,
inference(subsumption_resolution,[],[f113,f17]) ).
fof(f17,axiom,
greater(sk2,critical_point(sk1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l8_44) ).
fof(f113,plain,
~ greater(sk2,critical_point(sk1)),
inference(forward_demodulation,[],[f110,f104]) ).
fof(f104,plain,
critical_point(sk1) = appear(efficient_producers,sk1),
inference(unit_resulting_resolution,[],[f98,f51]) ).
fof(f51,plain,
( greater(cardinality_at_time(efficient_producers,sk2),zero)
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(subsumption_resolution,[],[f50,f15]) ).
fof(f15,axiom,
environment(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l8_42) ).
fof(f50,plain,
( ~ environment(sk1)
| greater(cardinality_at_time(efficient_producers,sk2),zero)
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(subsumption_resolution,[],[f48,f16]) ).
fof(f16,axiom,
in_environment(sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l8_43) ).
fof(f48,plain,
( ~ in_environment(sk1,sk2)
| ~ environment(sk1)
| greater(cardinality_at_time(efficient_producers,sk2),zero)
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(resolution,[],[f14,f43]) ).
fof(f43,plain,
( greater_or_equal(sk2,appear(efficient_producers,sk1))
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(resolution,[],[f39,f10]) ).
fof(f10,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_37) ).
fof(f39,plain,
( greater(sk2,appear(efficient_producers,sk1))
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(resolution,[],[f33,f30]) ).
fof(f30,plain,
! [X0] :
( ~ greater(critical_point(sk1),X0)
| greater(sk2,X0) ),
inference(resolution,[],[f8,f17]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X2)
| greater(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity_35) ).
fof(f33,plain,
( greater(critical_point(sk1),appear(efficient_producers,sk1))
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(resolution,[],[f9,f24]) ).
fof(f24,plain,
greater_or_equal(critical_point(sk1),appear(efficient_producers,sk1)),
inference(unit_resulting_resolution,[],[f15,f7]) ).
fof(f7,axiom,
! [X0] :
( ~ environment(X0)
| greater_or_equal(critical_point(X0),appear(efficient_producers,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_critical_point_after_EP_34) ).
fof(f9,axiom,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_36) ).
fof(f14,axiom,
! [X0,X1] :
( ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| greater(cardinality_at_time(efficient_producers,X1),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_41) ).
fof(f98,plain,
~ greater(cardinality_at_time(efficient_producers,sk2),zero),
inference(unit_resulting_resolution,[],[f15,f28,f18,f26,f90,f2]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ subpopulation(X1,X0,X2)
| ~ environment(X0)
| ~ subpopulation(X3,X0,X2)
| selection_favors(X1,X3,X2)
| zero != cardinality_at_time(X3,X2)
| ~ greater(cardinality_at_time(X1,X2),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp2_favour_members_29) ).
fof(f90,plain,
zero = cardinality_at_time(first_movers,sk2),
inference(subsumption_resolution,[],[f89,f87]) ).
fof(f87,plain,
( greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2))
| zero = cardinality_at_time(first_movers,sk2) ),
inference(subsumption_resolution,[],[f86,f15]) ).
fof(f86,plain,
( zero = cardinality_at_time(first_movers,sk2)
| ~ environment(sk1)
| greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2)) ),
inference(subsumption_resolution,[],[f84,f17]) ).
fof(f84,plain,
( zero = cardinality_at_time(first_movers,sk2)
| ~ greater(sk2,critical_point(sk1))
| ~ environment(sk1)
| greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2)) ),
inference(resolution,[],[f82,f20]) ).
fof(f20,plain,
! [X2,X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater(X2,critical_point(X0))
| ~ environment(X0)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
inference(equality_resolution,[],[f13]) ).
fof(f13,axiom,
! [X2,X0,X1] :
( ~ environment(X0)
| ~ greater(X2,X1)
| critical_point(X0) != X1
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_40) ).
fof(f82,plain,
( subpopulations(first_movers,efficient_producers,sk1,sk2)
| zero = cardinality_at_time(first_movers,sk2) ),
inference(subsumption_resolution,[],[f79,f36]) ).
fof(f36,plain,
( greater(cardinality_at_time(first_movers,sk2),zero)
| zero = cardinality_at_time(first_movers,sk2) ),
inference(resolution,[],[f34,f9]) ).
fof(f34,plain,
greater_or_equal(cardinality_at_time(first_movers,sk2),zero),
inference(unit_resulting_resolution,[],[f16,f15,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| greater_or_equal(cardinality_at_time(first_movers,X1),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_first_movers_exist_31) ).
fof(f79,plain,
( zero = cardinality_at_time(first_movers,sk2)
| ~ greater(cardinality_at_time(first_movers,sk2),zero)
| subpopulations(first_movers,efficient_producers,sk1,sk2) ),
inference(resolution,[],[f78,f56]) ).
fof(f56,plain,
( ~ greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ greater(cardinality_at_time(first_movers,sk2),zero)
| subpopulations(first_movers,efficient_producers,sk1,sk2) ),
inference(subsumption_resolution,[],[f55,f15]) ).
fof(f55,plain,
( ~ environment(sk1)
| ~ greater(cardinality_at_time(first_movers,sk2),zero)
| ~ greater(cardinality_at_time(efficient_producers,sk2),zero)
| subpopulations(first_movers,efficient_producers,sk1,sk2) ),
inference(resolution,[],[f3,f16]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| subpopulations(first_movers,efficient_producers,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_non_empty_fm_and_ep_30) ).
fof(f78,plain,
( greater(cardinality_at_time(efficient_producers,sk2),zero)
| zero = cardinality_at_time(first_movers,sk2) ),
inference(subsumption_resolution,[],[f77,f16]) ).
fof(f77,plain,
( ~ in_environment(sk1,sk2)
| greater(cardinality_at_time(efficient_producers,sk2),zero)
| zero = cardinality_at_time(first_movers,sk2) ),
inference(resolution,[],[f75,f22]) ).
fof(f22,plain,
greater_or_equal(sk2,critical_point(sk1)),
inference(unit_resulting_resolution,[],[f17,f10]) ).
fof(f75,plain,
! [X0] :
( ~ greater_or_equal(X0,critical_point(sk1))
| ~ in_environment(sk1,X0)
| greater(cardinality_at_time(efficient_producers,X0),zero)
| zero = cardinality_at_time(first_movers,sk2) ),
inference(subsumption_resolution,[],[f73,f15]) ).
fof(f73,plain,
! [X0] :
( ~ greater_or_equal(X0,critical_point(sk1))
| ~ in_environment(sk1,X0)
| ~ environment(sk1)
| greater(cardinality_at_time(efficient_producers,X0),zero)
| zero = cardinality_at_time(first_movers,sk2) ),
inference(superposition,[],[f14,f65]) ).
fof(f65,plain,
( critical_point(sk1) = appear(efficient_producers,sk1)
| zero = cardinality_at_time(first_movers,sk2) ),
inference(subsumption_resolution,[],[f64,f62]) ).
fof(f62,plain,
( greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2))
| zero = cardinality_at_time(first_movers,sk2)
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(subsumption_resolution,[],[f61,f15]) ).
fof(f61,plain,
( critical_point(sk1) = appear(efficient_producers,sk1)
| zero = cardinality_at_time(first_movers,sk2)
| ~ environment(sk1)
| greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2)) ),
inference(subsumption_resolution,[],[f59,f17]) ).
fof(f59,plain,
( critical_point(sk1) = appear(efficient_producers,sk1)
| zero = cardinality_at_time(first_movers,sk2)
| ~ greater(sk2,critical_point(sk1))
| ~ environment(sk1)
| greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2)) ),
inference(resolution,[],[f58,f20]) ).
fof(f58,plain,
( subpopulations(first_movers,efficient_producers,sk1,sk2)
| critical_point(sk1) = appear(efficient_producers,sk1)
| zero = cardinality_at_time(first_movers,sk2) ),
inference(resolution,[],[f57,f36]) ).
fof(f57,plain,
( ~ greater(cardinality_at_time(first_movers,sk2),zero)
| subpopulations(first_movers,efficient_producers,sk1,sk2)
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(resolution,[],[f56,f51]) ).
fof(f64,plain,
( critical_point(sk1) = appear(efficient_producers,sk1)
| zero = cardinality_at_time(first_movers,sk2)
| ~ greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2)) ),
inference(subsumption_resolution,[],[f63,f15]) ).
fof(f63,plain,
( critical_point(sk1) = appear(efficient_producers,sk1)
| zero = cardinality_at_time(first_movers,sk2)
| ~ environment(sk1)
| ~ greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2)) ),
inference(subsumption_resolution,[],[f60,f18]) ).
fof(f60,plain,
( critical_point(sk1) = appear(efficient_producers,sk1)
| zero = cardinality_at_time(first_movers,sk2)
| selection_favors(efficient_producers,first_movers,sk2)
| ~ environment(sk1)
| ~ greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2)) ),
inference(resolution,[],[f58,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( ~ subpopulations(X1,X2,X0,X3)
| selection_favors(X2,X1,X3)
| ~ environment(X0)
| ~ greater(growth_rate(X2,X3),growth_rate(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp1_high_growth_rates_28) ).
fof(f89,plain,
( zero = cardinality_at_time(first_movers,sk2)
| ~ greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2)) ),
inference(subsumption_resolution,[],[f88,f15]) ).
fof(f88,plain,
( zero = cardinality_at_time(first_movers,sk2)
| ~ environment(sk1)
| ~ greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2)) ),
inference(subsumption_resolution,[],[f85,f18]) ).
fof(f85,plain,
( zero = cardinality_at_time(first_movers,sk2)
| selection_favors(efficient_producers,first_movers,sk2)
| ~ environment(sk1)
| ~ greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2)) ),
inference(resolution,[],[f82,f1]) ).
fof(f26,plain,
subpopulation(first_movers,sk1,sk2),
inference(unit_resulting_resolution,[],[f16,f15,f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| subpopulation(first_movers,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_subpopulations_32) ).
fof(f18,axiom,
~ selection_favors(efficient_producers,first_movers,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l8_45) ).
fof(f28,plain,
subpopulation(efficient_producers,sk1,sk2),
inference(unit_resulting_resolution,[],[f16,f15,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| subpopulation(efficient_producers,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_subpopulations_33) ).
fof(f110,plain,
~ greater(sk2,appear(efficient_producers,sk1)),
inference(unit_resulting_resolution,[],[f106,f10]) ).
fof(f106,plain,
~ greater_or_equal(sk2,appear(efficient_producers,sk1)),
inference(unit_resulting_resolution,[],[f15,f16,f98,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : MGT026-1 : TPTP v8.1.2. Released v2.4.0.
% 0.14/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 03:42:10 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (4612)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (4615)WARNING: value z3 for option sas not known
% 0.15/0.38 % (4613)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (4614)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (4616)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (4615)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (4619)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38 % (4617)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (4618)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 % (4619)First to succeed.
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 % (4619)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (4619)------------------------------
% 0.15/0.39 % (4619)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.39 % (4619)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (4619)Memory used [KB]: 839
% 0.15/0.39 % (4619)Time elapsed: 0.007 s
% 0.15/0.39 % (4619)Instructions burned: 8 (million)
% 0.15/0.39 % (4619)------------------------------
% 0.15/0.39 % (4619)------------------------------
% 0.15/0.39 % (4612)Success in time 0.023 s
%------------------------------------------------------------------------------